On automorphism groups of planar lattices
The structure of automorphisms of planar lattices is analyzed.
On binary coproducts of frames
The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.
On bounding congruences in some algebras having the lattice structure
On Butler -groups decomposing over two base elements
A -group is a sum of a finite number of torsionfree Abelian groups of rank , subject to two independent linear relations. We complete here the study of direct decompositions over two base elements, determining the cases where the relations play an essential role.
On central atoms of Archimedean atomic lattice effect algebras
If element of a lattice effect algebra is central, then the interval is a lattice effect algebra with the new top element and with inherited partial binary operation . It is a known fact that if the set of central elements of is an atomic Boolean algebra and the supremum of all atoms of in equals to the top element of , then is isomorphic to a direct product of irreducible effect algebras ([16]). In [10] Paseka and Riečanová published as open problem whether is a bifull sublattice...
On central relations of complete lattices
On closed lattices
On compactness of lattices.
On compatible and order-preserving functions on lattices
On completely meet-irreducible elements in compactly generated lattices
On completion of cyclically ordered sets
On congruence lattices in a category
On congruence lattices of regular semigroups with Q-inverse transversals.
On congruences of the lattices
On Conrad's partial order relation on semiprime rings and semigroups.
On contexts of direct products, ordinal sums and ordinal products
On convex constructions in lattices
On convexities of lattices
On coverings in the lattice of all group topologies of arbitrary Abelian groups.
On Dilworth's coding Theorem.